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89316192560 = 245721719233067
BaseRepresentation
bin101001100101110101…
…0001111000100110000
322112112121011200122212
41103023222033010300
52430404421130220
6105010431551252
76311224052600
oct1231352170460
9275477150585
1089316192560
1134973731481
121538798b528
1385652622aa
14447417ac00
1524cb3070c5
hex14cba8f130

89316192560 has 480 divisors, whose sum is σ = 281032727040. Its totient is φ = 26108780544.

The previous prime is 89316192527. The next prime is 89316192671. The reversal of 89316192560 is 6529161398.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 89316192499 and 89316192508.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29120147 + ... + 29123213.

It is an arithmetic number, because the mean of its divisors is an integer number (585484848).

Almost surely, 289316192560 is an apocalyptic number.

89316192560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89316192560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140516363520).

89316192560 is an abundant number, since it is smaller than the sum of its proper divisors (191716534480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

89316192560 is a wasteful number, since it uses less digits than its factorization.

89316192560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3153 (or 3140 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 50.

The spelling of 89316192560 in words is "eighty-nine billion, three hundred sixteen million, one hundred ninety-two thousand, five hundred sixty".